Russellb - 90% of the quality of sound you get in a car is the installation, 10% are the products chosen.
You could drop in some new drivers and a head unit for $1,300, and this will be a starting point, but will likely still have huge problems with the sound, and will leave you wanting more.
If you are used to high end home gear, trying to even get acceptable sound in the car (especially a small one with a soft top) is going to be a challenge, and likely cost much more money than anticipated.
Your best bet is to try and find someone with lots of experience making cars sound good. Make sure you only believe what you hear IN CARS (not in a soundroom), and also don't believe car audio dealers claims until you hear results, as many that I have run into are snakes.
How the drivers are mounted and damped in the door panels is of extreme importance. If they are mounted to a floppy piece of plastic or vinyl then the sound will be dreadful as would any home speaker. MDF pieces mounted to the door frame, with fiberglass and other absorption in the door panels is a must.
Ideally, you will want to take the drivers out of the doors, and put them in kick panels so they can be more angled towards you.
Anyway, good luck!